Final answer:
The queen or king termite is responsible for laying eggs.
Step-by-step explanation:
The subterranean termite caste member that lays eggs is the queen or the king.
In a termite colony, there is a reproducing pair of termites known as the king and queen. The queen is responsible for laying eggs, while the king's primary role is to fertilize the queen's eggs.
The worker termites, soldier termites, and secondary reproductives do not lay eggs.